Combining skill and chance, 777 Rummy presents a fun challenge for players of all skill levels. Prioritize Forming Sets First. Since sets are ssttakingusually simpler to form than runs, concentrating on them first can be a useful tactic for building melds & sets. Players can start discarding their high-value cards early in the game by prioritizing their sets, which can help lower their total point total even if they lose the round.